Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Ariadne's shadow is 15 feet long and Dixon's shadow is 18 feet long. If Ariadne is 5 feet tall, how tall is Dixon?

ok so what we see is if adriadne is 5 feet tall her shadow goes *3 that means 15 feet tall to know dixons shadow you divide 18/3 which is 6. he's 6ft tall

Answer Link

MrRoyal MrRoyal · Answer 2 · 2021-08-19T15:18:11+02:00

Dixon's and Ariadne's height and the heights of their shadows are in equivalent ratios. Dixon is 6 feet tall

Using the following representations:

[tex]D \to[/tex] Dixon

[tex]A \to[/tex] Ariadne

The measure of their shadows is:

[tex]A_s =15[/tex]

[tex]D_s =18[/tex]

Ariadne's height is:

[tex]A = 5[/tex]

To calculate Dixon's height, we use the following equivalent ratios

[tex]A:D = A_s:D_s[/tex]

So, we have:

[tex]5:D = 15:18[/tex]

Express as fraction

[tex]\frac{D}{5} = \frac{18}{15}[/tex]

Multiply both sides by 5

[tex]5 \times \frac{D}{5} = \frac{18}{15} \times 5[/tex]

[tex]D = \frac{18}{3}[/tex]

[tex]D =6[/tex]

Hence, Dixon is 6 feet tall.

Read more about equivalent ratios at:

https://brainly.com/question/8345267